the interior angles of a hexagon are 147, 98, 121, 84, and 111, find the measure of the other angle

Answer 1

In a convex polygon, the sum of the interior angles is (n-2)*180. If you were wondering about why, the sum of the exterior angles will always be 360, and the sum of the interior plus exterior angles is 180 n.

For a hexagon, n = 6, so (n-2)*180 = (6-2)*180 = 720

Add the angles and subtract from 720.